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Finding the Third Proportional to 2,329,022 and 5,032,020

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Solution

The third proportional to 2,329,022 and 5,032,020 is: 10,872,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,022 : 5,032,020 = 5,032,020 : x
  2. Step 2: Convert to fraction form
    2,329,022/5,032,020 = 5,032,020/x
  3. Step 3: Cross multiply
    2,329,022x = 5,032,020 × 5,032,020
  4. Step 4: Simplify right side
    2,329,022x = 25,321,225,280,400
  5. Step 5: Solve for x
    x = 25,321,225,280,400/2,329,022
  6. Step 6: Final answer
    x = 10,872,042.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.